cos theta-sin theta=-1

,x,sin theta,cos theta-sin theta,-x,1cos theta,1,x]|=8, write the value

cos theta/(1-sin theta) + cos theta/(1+sin theta) = 4

Prove that the determinant |[x,sin theta,cos theta],[-sin theta,-x,1],[cos theta,1,x]| is independent of

cos theta/(1+sin theta)=(1-sin theta)/cos theta

((sin theta+cos theta-1)/(sin theta-cos theta+1))(1+sin theta) =

prove that (cos theta)/(1-sin theta)+(cos theta)/(1+sin theta)=(2)/(cos theta)

Solve for theta when (cos theta)/(1-sin theta) + (cos theta)/(1+sin theta)=4

Prove the following identities: (cos theta)/(1-sin theta)+(cos theta)/(1+sin theta)=2sec theta

Prove that : sin theta cos^3 theta - cos theta sin^3 theta = 1/4 sin4theta .

The value of theta [0^(@) lt theta lt 90^(@)] , for which (cos theta)/(1-sin theta ) + (cos theta)/(1+ sin theta) =4 , is: